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The measurements and simulations reveal that voice directivity in singing is affected if the mouth opening is changed significantly. The measurements show that the torso generates side lobes due to diffraction and reflections at frequencies related to the torso's dimensions.A vibrating surface in contact with a fluid experiences a reaction force that is related to the velocity of the surface. In the case of a harmonic vibration, the acoustic radiation impedance provides a useful measure of the harmonic force resulting from a harmonic ve